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Finding the Third Proportional to 61,940 and 133,816

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Solution

The third proportional to 61,940 and 133,816 is: 289,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,940 : 133,816 = 133,816 : x
  2. Step 2: Convert to fraction form
    61,940/133,816 = 133,816/x
  3. Step 3: Cross multiply
    61,940x = 133,816 × 133,816
  4. Step 4: Simplify right side
    61,940x = 17,906,721,856
  5. Step 5: Solve for x
    x = 17,906,721,856/61,940
  6. Step 6: Final answer
    x = 289,097.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.